        Ha et al., have introduced smoothness indicators based
on \(L_{1}-\)  norm in [1]} which measures the smoothness
of a solution on each 3-point stencil \(S_{k}(j),k=0,1,2\)  by estimating
the approximate magnitude of derivatives as
\(\beta _{k}=\xi |L_{1,k}f|+|L_{2,k}f|,\) 
